Analysis and Simulation of Vegetable Oil Refining Landucci_pannocchia_pelagagge_nicolella_2013

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  • 8/18/2019 Analysis and Simulation of Vegetable Oil Refining Landucci_pannocchia_pelagagge_nicolella_2013

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    See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/257084611

    Analysis and simulation of an industrialvegetable oil refining process

     ARTICLE  in  JOURNAL OF FOOD ENGINEERING · JUNE 2013

    Impact Factor: 2.77 · DOI: 10.1016/j.jfoodeng.2013.01.034

    CITATIONS

    6

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    4 AUTHORS, INCLUDING:

    Gabriele Landucci

    Università di Pisa

    65 PUBLICATIONS  387 CITATIONS 

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    Gabriele Pannocchia

    Università di Pisa

    85 PUBLICATIONS  955 CITATIONS 

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    C. Nicolella

    Università di Pisa

    123 PUBLICATIONS  1,844 CITATIONS 

    SEE PROFILE

    All in-text references underlined in blue are linked to publications on ResearchGate,

    letting you access and read them immediately.

    Available from: Gabriele Pannocchia

    Retrieved on: 28 February 2016

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  • 8/18/2019 Analysis and Simulation of Vegetable Oil Refining Landucci_pannocchia_pelagagge_nicolella_2013

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    Analysis and simulation of an industrial vegetable oil refining process

    Gabriele Landucci a,⇑, Gabriele Pannocchia a, Luigi Pelagagge b, Cristiano Nicolella a

    a Dipartimento di Ingegneria Civile e Industriale, Università di Pisa, Largo Lucio Lazzarino, 56126 Pisa, Italyb SALOV – Società Alimentare Lucchese Oli E Vini S.p.A. 1582, Via Montramito, San Rocchino 55054, Italy

    a r t i c l e i n f o

     Article history:

    Received 10 August 2012

    Received in revised form 1 November 2012

    Accepted 27 January 2013

    Available online 4 February 2013

    Keywords:

    Vegetable oil refining

    Process simulation

    Advanced thermodynamic models

    Formation of flammable mixtures

    a b s t r a c t

    This work focuses on the performance analysis of an industrial vegetable oil refinery. Using a commercial

    process simulator, a process model was developed and validated against actual vegetable oil refinery field

    data. The simulator allowed investigating both energy and safety aspects related to the presence of resid-

    ual extraction solvent (extraction grade hexane) in the processed crude vegetable oil. The critical nodes

    for hexane accumulation in the process were evaluated, both considering ordinary operative conditions

    and undesired process deviations due to increase of the hexane content. In this latter case, the control

    actions able to restore the normal operation were simulated, in terms of increased utility consumption

    (e.g., motive steam for ejectors and cooling water) or by modifying and optimizing equipment operating

    conditions. Finally, the possibility of flammable mixtures formation inside process vent pipes, caused by

    the entrainment of air due strong vacuum conditions, was also investigated.

     2013 Elsevier Ltd. All rights reserved.

    1. Introduction

    Edible oil production by extraction processes greatly increased

    in the last century due to both higher request and consumption

    (FAO, 2011) and the progressive availability of more efficient pro-

    cess technologies and equipment (Bockisch, 1998; Mielke, 1990;

    Shahidi, 2005; Veloso et al., 2005; Calliauw et al., 2008; Cuevas

    et al., 2009; Haslenda and Jamaludin, 2011; Szydłowska-Czerniak

    et al., 2011; Zulkurnain et al., 2012). A critical phase of the edible

    oil production chain is the final refining aimed at removing free

    fatty acids, which, in too high concentrations, lead to the rancidity

    of the oil (Cavanagh, 1976; Sullivan, 1976; Keurentjes et al., 1991;

    Bhosle and Subramanian, 2005; Martinello et al., 2007; Calliauw

    et al., 2008; Cuevas et al., 2009; Carmona et al., 2010; Akterian,

    2011), and other minor components such as phospholipids, pig-

    ments, proteins, oxidation products and the possible residual con-

    tent of the solvent used for the extraction process. The main

    operations involved in conventional refining for removing thementioned components are degumming, neutralization, washing,

    drying, bleaching, deodorization and filtration (Gunstone et al.,

    1994; Mag, 1990; Loft, 1990; Shahidi, 2005; Santori et al., 2012).

    This stage of the production chain is crucial for the quality

    enhancement of the final product.

    Onethe more criticalaspectsof vegetable oil refining is relatedto

    the presence of residual volatile solvent used for the extraction. In

    particular, due to the low vapor pressure, the residual solvent may

    cause a loss of efficiency in high temperature vacuum operations

    (such as drying, bleaching and deodorization). In these operations,

    vacuum conditions are often obtained by ejector systems (Bockisch,

    1998; Mag, 1990; Loft, 1990; Muth et al., 1998; Akterian, 2011),

    whose costs are mainly related to the consumption of steam and

    cooling water for condensation. A possible increase of the residual

    solvent concentration has a negative impact on these costs, besides

    worseningthe environmental impact relateddue to higheremission

    factors (odors, pollutant, etc.) (MRI, 1995; Muth et al., 1998).

    Another criticality is due to the fact that the extraction solvent is

    typically technical hexane (extraction grade hexane) (Dunford and

    Zhang, 2003; MRI, 1995) a highly flammable liquid and vapor (GHS

    hazard statement, Shell, 2012). In some critical nodes of the process,

    the solvent accumulates in the vapor phase and mixing with air may

    occur, potentiallyleadingto theformationof flammable mixturesand

    confined explosion of the equipment in case of accidental ignition

    (NFPA, 2007; Lees, 1996; Tugnoli et al., 2012). As reported in a previ-

    ous work (Landucci et al., 2011) this mainly affects crude oil storage

    tanks, as also experienced in two recent severe accidents which in-volved several fatalities (La Repubblica, 2006; El Economista, 2007).

    Nevertheless, since very low pressure vacuum operations character-

    ize several stages of the process (Bockisch, 1998; Mag, 1990; Loft,

    1990; Shahidi, 2005; Muth et al., 1998; Akterian, 2011; Santori

    et al., 2012), a low but significant amount of atmospheric air is en-

    trained by seals or gaskets mixing with the process vents. This may

    lead to the formation of flammable mixtures also in process lines.

    Even if the vegetable oil refining process is well known, the

    industrial facilities are continuously subjected to modifications,

    revamping and new technologies implementation in order to

    achievea higher process efficiency (Shahidi, 2005). In the literature,

    several examples of simulation and experimental analysis of each

    0260-8774/$ - see front matter  2013 Elsevier Ltd. All rights reserved.http://dx.doi.org/10.1016/j.jfoodeng.2013.01.034

    ⇑ Corresponding author. Tel.: +39 050 2217907; fax: +39 050 2217866.

    E-mail address: [email protected] (G. Landucci).

     Journal of Food Engineering 116 (2013) 840–851

    Contents lists available at  SciVerse ScienceDirect

     Journal of Food Engineering

    j o u r n a l h o m e p a g e :  w w w . e l s e v i e r . c o m / l o c a t e / j f o o d e n g

    http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-https://www.researchgate.net/publication/256001416_Supporting_the_selection_of_process_and_plant_design_options_by_Inherent_Safety_KPIs?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/256001416_Supporting_the_selection_of_process_and_plant_design_options_by_Inherent_Safety_KPIs?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/256001416_Supporting_the_selection_of_process_and_plant_design_options_by_Inherent_Safety_KPIs?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/241086278_Hazard_assessment_of_edible_oil_refining_Formation_of_flammable_mixtures_in_storage_tanks?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/241086278_Hazard_assessment_of_edible_oil_refining_Formation_of_flammable_mixtures_in_storage_tanks?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/241086278_Hazard_assessment_of_edible_oil_refining_Formation_of_flammable_mixtures_in_storage_tanks?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://dx.doi.org/10.1016/j.jfoodeng.2013.01.034mailto:[email protected]://dx.doi.org/10.1016/j.jfoodeng.2013.01.034http://www.sciencedirect.com/science/journal/02608774http://www.elsevier.com/locate/jfoodenghttps://www.researchgate.net/publication/256001416_Supporting_the_selection_of_process_and_plant_design_options_by_Inherent_Safety_KPIs?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/263373056_J_Loss_Prevention_in_the_Process_Industries?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==https://www.researchgate.net/publication/241086278_Hazard_assessment_of_edible_oil_refining_Formation_of_flammable_mixtures_in_storage_tanks?el=1_x_8&enrichId=rgreq-3781aa51-44ca-49cb-8bb4-58215249d8bd&enrichSource=Y292ZXJQYWdlOzI1NzA4NDYxMTtBUzoxMDM3NjgyNzYzNDA3NDlAMTQwMTc1MTY5MzU3OA==http://www.elsevier.com/locate/jfoodenghttp://www.sciencedirect.com/science/journal/02608774http://dx.doi.org/10.1016/j.jfoodeng.2013.01.034mailto:[email protected]://dx.doi.org/10.1016/j.jfoodeng.2013.01.034http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-

  • 8/18/2019 Analysis and Simulation of Vegetable Oil Refining Landucci_pannocchia_pelagagge_nicolella_2013

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    single stage of the refining process are available (Keurentjes et al.,

    1991; Wills and Heath, 2005; Zin, 2006; Ceriani and Meirelles,

    2006; Didi et al., 2009; Farhoosh et al., 2009; Sampaio et al.,

    2011), while a systematic performance analysis, which has been

    extensively applied in the framework of process/chemical industry

    (Motard et al., 1975; Shaw, 1992; Biegler et al., 1997; Vadapalli and

    Seader, 2001; Hoyer et al., 2005; Towler and Sinnott, 2013) and

    aimed at taking into account the mentioned critical aspects, is still

    lacking.

    The present analysis was therefore addressed at investigating

    the vegetable oil refining process by the development of detailed

    simulation model using the commercial software ‘‘Honeywell Uni-

    Sim Design’’ (Honeywell, 2010a,b). The analysis was aimed at

    identifying the main process streams, the reference substances,

    and quantifying the mass and energy fluxes among the refining

    plant. The process simulator was applied to case studies represen-

    tative of the current industrial applications, deriving the input data

    from inlet conditions of an actual vegetable oil refinery. In

    particular, the vegetable oil refinery of SALOV S.p.A., located in

    San Rocchino (Massarosa) (Italy), was considered in the analysis.

    The simulation model was validated against actual field data of 

    the same plant and a sensitivity analysis was performed in order to

    evaluate the utility consumption and potential safety relevant sit-

    uations depending on the quality of the input feedstock, in partic-

    ular evidencing the effect of the residual solvent content on the

    whole process efficiency.

    2. Materials and methods

     2.1. Methodological approach

    The flowchart of the methodology is reported in Fig. 1, and is

    based on the approach followed in a previous work by  Landucci

    et al. (2011) for the analysis of crude vegetable oil storage systems.

    The first step of the methodology was related to characteriza-

    tion of the crude vegetable oil composition, which, for each typeof seed or fruit, is determined by environmental conditions during

    plant grow and farming soil characteristics. A reference composi-

    tion representative of different types of oil was used to perform

    the further steps of the methodology. The second step (see Fig. 1)

    consisted in the schematization of the typical process operations

    for oil refining, with definition of operative conditions for process

    equipment and evaluation of energy requirements (steam con-

    sumption and other utilities). Then, a thermodynamic model was

    applied in order to reproduce the vapor/liquid equilibrium of the

    crude vegetable oil system (step 3 in  Fig. 1), implementing the

    presence of water and residual solvent content. The model was val-

    idated against available experimental data.

    Next (step 4 in Fig. 1), the refining process was simulated with

    Honeywell UniSim Design. Specific subroutines were imple-

    mented for the simulation of non-standard utilities such as the

    ejectors used for keeping vacuum conditions in process vessels

    and the deodorization operation.

    The process simulator was used to perform the optimization of 

    operative conditions given the optimal composition of the feed-

    stock, in order to minimize the costs related to utilities (step 5 in

    Fig. 1). A sensitivity analysis was performed (step 6 in Fig. 1) aimed

    at identifying the system response to the increasing residual sol-

    vent content in the feedstock and possible restoration control mea-

    sures. Finally, the possibility of formation of flammable mixtures

    inside process lines was investigated (step 7 in  Fig. 1).

     2.2. Characterization of the crude vegetable oil

    Crude edible oil is a complex multicomponent system. Recent

    studies were focused on the detailed experimental or numerical

    characterization of the vapor/liquid equilibrium of this system

    (Christov and Dohrn, 2002; Rodrigues et al., 2004; Calliauw et al.,

    2008; Ceriani et al., in press). Furthermore, advanced modeling

    tools were implemented for the analysis of the refining process

    taking into account different relevant triacylglycerols (TAGs), par-

    tial acylglycerols (monoacylglycerols MAGs, diacylglycerols DAGs),

    and the possible residual acid components, such as free fatty acids

    of different type (Rodrigues et al., 2004; Farhoosh et al., 2009; Chi-

    yoda et al., 2010; Silva et al., 2011; Sampaio et al., 2011; Gera-

    simenko and Tur’yan, 2012; Teles dos Santos et al., in press;Ceriani et al., in press). Nevertheless, since the aim of the present

    study was to evaluate the effect of residual hexane content on

    the safety and energy performance of process equipment, a simpli-

    fied reference composition was considered. The same approach

    was followed in several studies on edible oil processing available

    in the literature (Zhang et al., 2003; Ruiz-Mendez and Dobarganes,

    2007; Cerutti et al., 2012).

    The reference composition implemented in the simulation mod-

    el is reported in Table 1. Such composition is based on the typical

    crude sunflower oil feedstock used in SALOV S.p.A. vegetable oil

    refinery, as already considered by   Landucci et al. (2011).  The oil

    phase of the edible oil was schematized as pure triolein (reference

    TAG), while the free fatty acids content is assumed as pure oleic

    acid. Minor components such as sterols, tocopherols and squaleneare also present and were implemented in the UniSim Design list

    of components as ‘‘hypo component’’ (Honeywell, 2010a). The hex-

    ane residual content (schematized as pure n-hexane) was taken as

    Characterization of the

    crude vegetable oil

    composition1

    Thermodynamic modelfor the estimation of

    vapor/liquid equilibrium3

    Validation with

    experimental data

    Schematization of the oil

    refining process2

    Collection of typical

    operations and

    process conditions

    from actual plants

    Software implementation

    of the refining process4

    UniSim tool

     Analysis of a case study

    and optimization of

    process conditions5

    Sensitivity analysis6

     Assessment of

    utilities requirement

    Set up of optimal

    equipment operative

    conditions

    Increase of residual

    solvent concentration

    7 Safety aspects

    Fig. 1.  Flowchart of the methodology.

     Table 1

    Reference composition of the crude vegetable oil

    considered in the present study based on SALOV

    refinery data.

    Components Mass fraction (%)

    Triolein 97.29

    Oleic acid 2.00

    n-Hexane 0.10

    n-C29H60   0.15

    Sterols 0.40

    Tocopherols 0.06

    G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851   841

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    elsewhere (Honeywell, 2010b), while Appendix A summarizes the

    key parameters and equations used to predict enthalpy, entropy,

    the fugacity coefficients for each component of the mixture and

    thus the vapor/liquid equilibrium.

    In order to test the validity of the model, a comparison with

    available experimental data was carried out. A significant number

    of literature studies focuses on vegetable oil/hexane mixtures at

    high concentrations of hexane in the liquid phase (Fornari et al.,

    1994; Ceriani and Meirelles, 2004; Smith and Florence, 1951), typ-

    ical of extraction processes. The only available data for diluted

    solutions, which are significant in the present case, are reported

    by  Smith and Wechter (1950). Data are referred to the soybeanoil/n-hexane solutions with a residual solvent content in the range

    0.2–1.32% by weight. The hexane vapor pressure is measured in the

    experiments as a function of the temperature. The model was fitted

    on the experimental results by setting the triolein–hexane binary

    interaction coefficient to  0.095 (Honeywell, 2010b). Notice that

    for all other pairs of compounds, the default values of binary inter-

    action coefficients were used. All binary interaction coefficients are

    reported for completeness of exposition in Appendix A.

    Fig. 3 reports a comparison between experimental data and val-

    ues calculated with Unisim Design of n-hexane partial pressure in

    the vapor phase as a function of temperature and hexane concen-

    tration in the oil phase. As can be observed in this figure, the model

    gives a quite accurate prediction with major deviations on the safe

    side (e.g., 17% overprediction of n-hexane vapor pressure). The datawere linearly extrapolated for temperatures lower than 75 C asal-

    ready performed in a recent publication (Landucci et al., 2011), in

    which, however, the effect of water on the vapor phase composi-

    tion was neglected and the model was set up only for the analysis

    of storage conditions.

     2.5. Simulation model implementation

    The process simulation model, implemented in the UniSim

    Design software, was aimed at evaluating the energy consumption

    of the plant and the more critical nodes in which hexane is

    accumulated, both in ordinary process conditions and following

    unexpectedprocess deviations. Forthe sakeof brevityonly themain

    issues related to vegetable oil refining simulator and innovative as-

    pects connected with theanalysisof themore importantequipment

    are summarized in the following sections. In order to highlight the

    complexity of the developed process simulation model and the

    potentialities of themethod, theSupplementaryinformation filere-

    ports samples of the UniSim Design process flow diagrams (PFDs).

     2.5.1. Condensers

    The condensers are critical units under the point of view of 

    energetic efficiency of the process. These units are aimed at con-

    densing the steam outlets from the ejectors connected to the main

    process equipment to keep vacuum conditions (see specific

    description in Section 2.5.3) by the use of cooling water available

    in the refinery plant.   Fig. 2   shows the condensers associated to

    the ejector of the drying section (E5), bleaching (E6) and deodor-

    ization (E7 for the first and second stage ejectors, E8 for the third

    stage ejector). The sample UniSim Design PFD for the condenser

    E5 is shown in Supplementary information.

    The cooling water flowrate is the variable manipulated by the

    software (ADJ 1 operator) which determines its value by imposing

    a fixed temperature of 20 C for the condensate. This implementa-

    tion allows for a better stability of the model in presence of input

    deviations on the crude oil composition. The condenser parameters

    were determined after a preliminary rating operation. The typical

    range of cooling water flowrates, derived from actual plant design

    data, was imposed in a preliminary dedicated simulation model to-

    gether with the geometry documented in the equipment data-

    sheets, thus calculating in the so-called rating mode an average

    value for the pressure drops and heat transfer coefficient.

    Then, condensers are implemented in the overall simulation

    model by imposing thepressure drops on both tubes andshell sides,

    and the product of the geometry area times the overall heat transfer

    coefficient (‘‘designmode’’, see Honeywell (2010a) formoredetails).

    This modeling approach was associated to the condensers E5,

    E6 and E7 (see Fig. 2), while for condenser E8 a different approachwas followed. Since this unit receives the cooling water already

    used in condenser E7, associated to ejectors EJ3a and EJ3b (see

    Fig. 2), its modeling using an a priori fixed value for the overall

    transfer coefficient may be inaccurate. In fact, the cooling water

    is manipulated to satisfy specifications on other upstream units

    and may vary significantly. Therefore, the so-called ‘‘rating mode’’

    (see   Honeywell (2010a)  for more details on this procedure) was

    used, in which one specifies the exchanger geometry (number/

    dimensions/arrangements of tubes, shell passes, etc.) and appro-

    priate correlations are internally used to evaluate the heat transfer

    coefficients and pressure drops on the basis of actual flowrates.

     2.5.2. Deodorization column

    The deodorization stage is aimed at removing minor compo-nents (e.g., squalene and polycyclic aromatic compounds) which

    cause odor and the loss of quality of the final product. The deodor-

    ization column (C1 in  Fig. 2) is a stripping column made of five

    chambers, each fed with low pressure steam (LPS, at 1.5 bar). The

    total LPS mass flowrate is set as the 1.8% of the total refined oil

    flowrate. The hot exhausted vapors from each chamber are col-

    lected and fed to a water scrubber (C2 in  Fig. 2), where the fatty

    acids are removed and purged.

    In order to reach the requiredstrong vacuum conditions (in par-

    ticular, 0.2 kPa pressure and temperature higher than 220 C) the

    ejector system depicted in Fig. 2 is required.

    The column was modeled in the UniSim Design software by

    implementing six separators in series, aimed at representing the

    five chambers of the column C1 plus the bottom of the column,in which the separation is also carried out thus reaching the

     Table 2

    Operative conditions of the main sections of the refining process.

    Process section Operative temperature (C) Operative pressure (kPa)

    Neutralization 20 100

    Degumming 60–70 100

    Washing 90 100

    Drying 90 5

    Bleaching 105 6

    Deodorization 230 0.2

    Fig. 3.   Validation of the thermodynamic model developed in UniSim Design. HEX:

    residual hexane content in thecrudevegetable oil(% by weight basis).Experimentaldata were derived from Smith and Wechter (1950).

    G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851   843

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    vapor/liquid equilibrium conditions. For the first four separators an

    energy stream is added in addition to the LPS stripping stream in

    order to simulate the presence of high pressure steam (saturated

    steam at 40 bar) fed to internal heating coils inside the C1 column

    chambers in order to keep high temperature conditions. The Uni-

    sim Design PFD is reported in Supplementary information.

     2.5.3. Ejectors

    Several steam driven ejectors are used in the refinery to obtain

    the needed vacuum conditions in the process equipment. As evi-

    denced in Section 2.5.1  these pieces of equipment are critical for

    the energy performance assessment of the refinery plant. However,

    no dedicated model is available in the process simulator for ejec-

    tors. Thus, a specific modeling tool was implemented in the soft-

    ware in order to achieve an accurate performance evaluation

    exploiting the UniSim Design software ‘‘User Unit Operation’’

    function. The function allows inserting the data derived from ac-

    tual ejector systems datasheets, in particular the design curves.

    These curves report the entrainment ratio (1/l), given by the suc-tion flow related to air at 20 C respect to the motive steam flow, as

    a function of the ratio between the discharge and suction pressures

    (P d/P s). The curves vary according to the parameter given by the ra-

    tio between suction and motive steam pressures (P s/P m). The anal-

    ysis of the design curves and optimization of ejector systems is

    extensively described in the technical literature (Meherwan,

    1999; Akterian, 2011).

    Hence, by setting the pressures of the equipment in vacuum

    conditions (e.g.,  P s), of the motive steam (e.g.  P m) and of the dis-

    charge (P d) it is possible to derive by reading on the curves the

    entrainment ratio and calculating the necessary mass flows as

    follows:

    1

    l¼ maMS 

    1

    K ejð1Þ

    where ma is the entrained flow of air at 20 C, MS  is the flow of mo-

    tive steam and K ej  is a correction factor for suction flows other than

    air, expressed as follows:

    K ej  ¼

     ffiffiffiffiffiffiffiffiffiffiRS T S RLT L

    s   ð2Þ

    where RS  is the gas constant of suction flow,  RL  the gas constant of 

    air (=287 J kg1 K1),  T S  the temperature (in K) of suction flow,  T Lthe reference air temperature for the ejector (=293 K).

     Table 3

    Fitting parameters for the approximation of the ejectors

    design curves (see Eq. (3)).

    Parameter (P s/P m)   X 1   X 2

    0.001 4.14 0.983

    0.002 3.81 0.910

    0.005 3.38 0.732

    0.010 3.03 0.673

    0.020 2.70 0.615

    0.050 2.26 0.489

     Table 4

    Comparison between the process parameters evaluated by the model and the available field data. For tags locations, see Fig. 4.

    TAG Description Units Model results Field data

    FI1 Refined oil exit flow kg/h 14,558 14,075

    PI1 Pressure in the deodorization column kPa 0.2 0.22

    TI1 Temperature of the bleaching reactor   C 104.8 110.1

    TI2 Temperature of crude oil at the deodorization inlet   C 231.7 230.7

    TI3 Refined oil exit temperature   C 160.9 154.8

    TI4 Temperature of the deodorization column top side   C 135.8 153.0

    Drying

    Bleaching

    Deodorization

    Crude oil from

    neutralization

    Refined oil

    to storage

    2

    3

    4

    1

    CW1

    CW2

    CW3

    CW4

    CW5

    CW6

    H1 H2 H3Bleaching

    earth &

    activated

    carbon

    5

    C1 C2   V1

    C3   V2

    C5   V3E5 E6

    H4 H5 H6   E2

    H7 H8 H9 E3 E4

    W1

    E1

    W2

    LEGEND:

    C

    CW

    E

    H

    V

    W

    Condensed steam

    Cooling water 

    Energy stream

    Low or medium pressure steam

    Vent

    Process waste

    Material stream tag

    C4

    E7

    Fig. 4.  Schematic representation of the heat and material balance on the analyzed plant sections.

    844   G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851

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    In order to obtain more realistic results, the actual datasheet of 

    industrial ejector systems were obtained (Körting Hannover AG,

    1994) inserting in the UniSim Design software ‘‘Unit Operation’’

    function the numerical interpolation of the design chart curves

    as follows:

    maMS 

     ¼  X 1P d=P s

     X 2ð3Þ

    where X 1 and X 2 are fitting constants reported in Table 3 for differ-

    ent values of the parameter  P s/P m.

    In the process simulator, for each equipment operating in vac-

    uum conditions the suction temperature, the suction pressure

    and the motive steam pressure are specified as input parameters;hence the software applies Eqs.  (1)–(3)   to evaluate the motive

    steam flow which is necessary to keep an imposed discharge

    pressure.

    Therefore, by varying the input conditions, e.g. due to devia-

    tions in the process (in particular, the increase of volatile com-

    pounds affect the suction flow), the energetic consumptions are

    evaluated by calculating the necessary motive steam flow needed

    to restore the optimum process conditions.

    3. Results and discussion

     3.1. Model validation and case study analysis

    In order to validate the process simulator, actual field data werederived from SALOV S.p.A. refinery during typical working

     Table 5

    Heat and material balance on the plant sections analyzed in the present study. For the identification of the streams, refer to  Fig. 4. Composition is expressed in percentages by

    weight basis.

    Item Material streams

    1 2 3 4 5b W1 W2

    Temperature (C) 90.0a 84.3 105.2 20.0a 25.0a 105.0 48.4

    Pressure (kPa) 195.0 200.0a 210.0a 186.0 200.0a 8.0 0.2

    Flowrate (kg/h) 14,887.5 14,795.2 14,695.0 14,558.4 14.8 97.8 133.0a

    Triolein (%) 98.14 98.74 98.75 99.62 0.0 100.0 5.2

    Water (%) 0.55 0.01 0.01 0.0 100.0 0.0 0.0

    n-Hexane (%) 0.10 0.02 0.01 0.0 0.0 0.0 67.3

    Oleic acid (%) 0.60 0.61 0.61 0.0 0.0 0.0 0.0

    Other (%) 0.61 0.62 0.62 0.38 0.0 0.0 27.5c

    a Value imposed to process simulator.b The stream containing bleaching earth and activated carbon is modeled as pure water.c Spent bleaching earth.

     Table 6

    Heat and material balance on the plant utilities. For the identification of the streams, refer to  Fig. 4. C = steam condensate; CW = cooling water; E = energy stream; H = steam;

    V = vent.

    ID Physical

    state

    Description Thermal power

    (kW)

    Flowrate

    (kg/h)

    Temp.

    (C)

    Pressure

    (kPa)

    Drying sectionC1 Liquid Steam condensate associated to ejector EJ1a 150.1 19.0 16.5

    C2 Liquid Steam condensate associated to ejector EJ1b 1153.0 127.5 250.0

    CW1 Liquid Cooling water fed to the drying section condensers 9282.0 8.0 150.0

    CW2 Liquid Cooling water exiting the drying section condensers 9282.0 18.0 149.9

    H1 Vapor Motive steam fed to first stage ejector EJ1a 70.1 175.5 900.0

    H2 Vapor Motive steam fed to second stage ejector EJ1b 53.4 175.5 900.0

    H3 Vapor Drying steam pre-heating in E1a 1153.0 127.5 250.0

    V1 Vapor Vent exiting from drying section 70.6 123.2 108.0

    E1 – Heat removed in downstream degumming section with heat exchanger 142.0

    Bleaching section

    C3 Liquid Steam condensate associated to ejector EJ1a 301.0 127.5 250.0

    C4 Liquid Steam condensate associated to ejector EJ1b 30.4 19.8 16.5

    CW3 Liquid Cooling water fed to the bleaching section condensers 1180.8 8.0 150.0

    CW4 Liquid Cooling water exiting the bleaching section condensers 1180.8 20.0 150.0

    H4 Vapor Motive steam fed to first stage ejector EJ2a 15.6 175.5 900.0

    H5 Vapor Motive steam fed to second stage ejector EJ2b 27.6 175.5 900.0

    H6 Vapor Bleaching steam pre-heating in E1b 301.0 127.5 250.0V2 Vapor Vent exiting from bleaching section 35.4 134.0 108.0

    E2 – Bleaching pre-heating 11.0

    Deodorization section

    C5 Liquid Steam condensate associated to ejector EJ3 1537.0 19.8 102.5

    CW5 Liquid Cooling water fed to the deodorization section condensers 240,000.0 8.0 150.0

    CW6 Liquid Cooling water exiting the deodorization section condensers 240,000.0 12.0 140.9

    H7 Vapor Motive steam fed to first stage ejector EJ3a 1100.1 175.5 900.0

    H8 Vapor Motive steam fed to second stage ejector EJ3b 157.1 175.5 900.0

    H9 Vapor Motive steam fed to third stage ejector EJ3c 26.0 175.5 900.0

    V3 Vapor Total ventflowrateexiting from deodorization section condensers (E7 and

    E8)

    33.8 132.4 108.0

    E3 – C1 chambers external coil heating 89.0

    E4 – Steam (40 bar) for oil preheating 448.0

    E5 – Cooling of scrubber C2 recycle 53.0

    E6 – Air cooler 1055.0

    E7 – Cooling unit 163.0

    G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851   845

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    deodorization. Both steam and cooling water utilities have the

    highest requirements in order to keep the severe operative condi-

    tions imposed by the process. In particular, low pressure (0.2 kPa)

    leads to major motive steam consumption and associated cooling

    water for condensation, while the high operative temperature of the column (230 C) is kept also by the use of additional heating

    (energy streamE4 in Table 6) carried out with high pressure steam.

    Besides, additional heat exchangers are needed for cooling the

    scrubber C2 (see Fig. 2) recycle and the vents before the treatment

    and the discharge in the atmosphere.

     3.2. Process optimization and sensitivity analysis

    The analysis of the refinery in the baseline case (0.1% hexane by

    weight basis in the inlet crude oil) highlighted the criticalities re-

    lated to the energy consumptions in the refinery lowpressure units

    (e.g., drying, bleaching and deodorization). Since the ejector sys-

    tems operative conditions affect the whole refinery energetic per-formance, the process simulator was applied in order to optimize

    the operating conditions for the minimization of motive steam

    consumption. The optimization was carried out on the three ejec-

    tor systems considering that the motive steam is available in the

    plant at the same pressure (medium pressure steam, MPS at 9 bar).

    Fig. 5a reports an example of optimization, in particular related

    to the ejector system connected to the drying flash drum (EJ1a/b

    with condenser E5, see Fig. 2). As can be seen in the scheme, the

    ejector is constituted by two different sections in which P s

      is the

    suction pressure, representative of the equipment operative

    conditions,  P out   the system discharge pressure, MSA   and MSB   the

    motive steam streams respectively for the first and second stage,

    and P int   is the intermediate pressure, which is the degree of free-

    dom (DOF) to specify for the optimization. The optimization is car-

    ried out by varying both MSA and MSB and finally obtaining the P intwhich minimizes the overall steam consumption (e.g., the sum of 

    MSA  and MSB), as shown in Fig. 5a. Determining the intermediate

    ejectors pressure allows for the process energetic efficiency

    enhancement.

    The described optimization method can be performed also by

    considering a possible increase of the inlet residual hexane con-

    tent, as reported in Fig. 5b. In particular the figure shows the opti-

    mized intermediate pressure for all the considered ejector systems

    (see Fig. 2 for tags and equipment representation). These outcomes

    might be potentially applied when a different feedstock quality is

    accepted and processed by the refinery for a mid- or long-term

    period, with the need of a systematic improvement of the operat-

    ing conditions. As shown in  Fig. 5b, the increase of the residual

    hexane content has a stronger influence on the drying and bleach-

    ing sections respect to the deodorization, since in these sections

    the major part of hexane is removed (see Section 3.1). This results

    in the increase of the intermediate pressure for optimizing the mo-

    tive steam consumption.

    The results of the sensitivity analysis carried out by varying the

    inlet hexane concentration and optimizing the operating condi-

    tions and process variables are reported in  Table B1 of Appendix

    B. The table allows determining the optimized operating condi-

    tions referring to the base case discussed in Section  3.1.On the basis of the sensitivity analysis results, the overall utili-

    ties requirements were derived and shown in  Fig. 6. Fig. 6a shows

    the increase of the overall motive steam and cooling water con-

    sumption by varying the inlet hexane concentration of one order

    of magnitude (e.g., ranging from 0.1% to 1.5% by weight basis). Mo-

    tive steam consumption is increased by 40%, showing a more sig-

    nificant variation respect to cooling water utility, which increase

    is limited to 1%. This is due to the fact that the highest flowrate

    of cooling water is a fixed simulation parameter, since it is fed to

    the condenser of the third ejector (EJ3c, see detailed description

    of simulation set up in Section   2.5.1). This flowrate is almost

    twenty times higher than the sum of the other cooling water util-

    ities, which can be varied in order to control the condensate tem-

    perature (see Section 2.5.1).In order to determine the variation in the process vents behav-

    ior due to the increase of inlet hexane concentration,  Fig. 6b pre-

    sents the change in the hexane removal percentage (thus,

    starting from the values evaluated at 0.1% residual hexane content,

    see Section 3.1) in each process section. The results highlight that

    the excess hexane is mainly removed in the drying section, due to

    the oversizing of the equipment. Hence, this allows decreasing the

    hexane amount fed to the downstream units, which hexane re-

    moval decreases as shown in  Fig. 6b.

    Therefore, the sensitivity analysis allowed determining the

    change in process parameters and utility requirements for restor-

    ing the process operating conditions given unforeseen changes of 

    the inlet feedstock. It clearly appears that the increase of volatile

    solvent residual has a negative impact on the energetic costs of the refining process.

    Fig. 7.  Comparison between the flammability range of hexane considering two

    inert reference gases (carbon dioxide and nitrogen) and vapor concentration in the

    venting line for (a) drying, (b) bleaching and (c) deodorization considering a

    residual hexane content of 0.1% by weight basis in the inlet crude oil. For air

    infiltration types characterization, see Table 7.

    G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851   847

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     3.3. Formation of flammable mixtures inside process streams

    The process simulator pointed out the more critical nodes for

    hexane accumulation, also considering the potential variation of 

    the initial hexane residual in the process feed. Among the possi-

    ble hazards related to the presence of hexane inside process

    pipes, one of the critical issues is related to the possibility of 

    air entrainment from gaskets and seals in strong vacuum operat-

    ing pipes, thus leading to the formation of flammable mixtures

    in confined spaces. This might lead to fire and explosion hazards

    in case of accidental ignition of the flammable mixture, already

    highlighted for the storage equipment in a previous work (Land-

    ucci et al., 2011).

    Therefore, the process simulator was employed to investigate

    this problem, considering an additional air flow in the three vent

    lines (V1, V2 and V3, see  Fig. 4) given a reference air entrainment

    value, specified by the ejector manufacturer (Körting Hannover

    AG,1994) for the vent discharge line. Table 7 reports the considered

    entrainment value (infiltration type 2), also considering a possible

    negative or positive variations respect to this reference value

    (respectively, infiltration types 1 and 3 in Table 7).

    Fig. 7   reports the evaluated residual hexane concentration in

    the vent lines evidencing the possibility of formation of flammable

    mixtures in the drying (Fig. 7a), bleaching (Fig. 7b) and deodoriza-

    tion (Fig. 7c) sections as a function of the different air entrainment

    rates given a fixed hexane residual content in crude oil feed (e.g.,

    0.1% by weight basis). A flammable mixture is potentially formed

    if the calculated concentration point enters inside the flammable

    range, i.e. the region of the chart included inside the reference con-

    tinuous lines. In absence of data for water as inerting fluid, the ef-

    fect of nitrogen (bright lines in   Fig. 7) and carbon dioxide (dark

    lines in Fig. 7) as diluents was taken into account in order to obtain

    preliminary indications for the methodology (Mashuga and Crowl,

    1998; Zabetakis, 1965). Furthermore, the flammability range is af-

    fected by operative pressure and temperature, but the use of data

    referred to 25 C temperature and 1.01 bar allows for evaluation of 

    the flammability hazards on the safe side in the considered process

    sections (Lees, 1996).

    The results make clear that in the case of higher hexane concen-

    tration in the vent line, the entrained air is not sufficient to form

    flammable mixtures, thus leading to a less hazardous situation.

    This is the case of the drying section, in which the major part of 

    hexane is removed and, as shown in   Fig. 7a, and in which none

    of the calculated points fall under the flammable region even for

    high air entrainment rates. On the contrary, for the other two sec-

    tions, the hexane vent content is lower and some points calculated

    for high air entrainment rates especially in the deodorization sec-

    tion vent (see Fig. 7c), fall into the hazardous zone. This evidences a

    safety criticality for strong vacuum operating equipment in pres-

    ence of flammable vapors.

    Hence, this type of hazard might be taken into account during

    the vent pipeline design and in maintenance operations.

     Table A1

    Main parameters and equations implemented in the thermodynamic model ( Honeywell, 2010b).

    ID Equation Description Parameters

    Eq. (1)   P  ¼   RT V b   a

    V ðV þbÞþbðV bÞ  Peng–Robinson state equation   P  = Pressure (Pa)

    R = 8314(J kmol1 K1) universal gas

    constant

    T  = Temperature (K)

    V  = Volume (m3)

    a = see Eq. (6)b = see Eq. (5)

    Eq. (2)   Z 3 - ( 1 - B) Z 2 + ( A - 2B - 3B2) Z  - ( AB - B2 - B3) = 0 Peng–Robinson expressed in terms

    of the compressibility factor Z 

     Z  = Compressibility factor = (PV)/

    (RT)

     A = see Eq. (3)

    B = see Eq. (4)

    Eq. (3)   A = aP /(RT )2 Parameter in Eq. (2)   a = see Eq. (6)

    Eq. (4)   B = bP /(RT )2 Parameter in Eq. (2)   b = see Eq. (5)

    Eq. (5) b ¼ PN 

    i¼1 xibi ;   bi  ¼  0:077796RT c ;iP c ;i

    1st Peng–Robinson equation

    coefficient for mixtures

     xi = mass fraction of the ith

    component of the mixture of  N 

    components.

    T c ,i = critical temperature of the  ith

    component

    P c ,i = critical pressure of the ith

    component

    Eq. (6)   a ¼ PN 

    i¼1

    PN  j¼1 xi x jðaia j Þ

    0:5ð1  kijÞ;   ai  ¼  ac ;iai

    ac ;i  ¼  0:457235ðRT c ;i Þ

    2

    P c ;i;   a0:5i   ¼ 1 þ mið1  T 

    0:5r ;i  Þ

    2nd Peng–Robinson equation

    coefficient for mixtures – original

    formulation

    T r ,i = T /T c ,ikij  = system specific experimental

    binary interaction factor

    mi = see Eq. (7)

    Eq. (7)   mi  ¼  0:37464 þ 1:5422xi   0:26992x2i  ;  xi  6 0:49

    mi  ¼  0:379642 þ ð1:48503 ð0:164423 0:016666xiÞxiÞxi ;  xi  >  0:49

    Polynomial factor for Eq. (6) –

    original formulation

    xi = Acentric factor of the ithcomponent

    Eq. (8) ai  ¼  T N i=ðM i 1Þr ;i   expðLið1  T 

    N i M ir ;i   ÞÞ

      Twu Alpha function for Peng–

    Robinson correction for Eq. (6)

    Li,  M i,  N i = Parameters of pure ith

    substance (see details in  Honeywell

    (2010b))

    Eq. (9)   H H IDRT    ¼ Z   1

      121:5bRT 

      a  T  dadT 

    ln

      V þð20:5þ1Þb

    V þð20:51Þb

      Enthalpy equation   H  = predicted enthalpy

    H ID = reference enthalpy evaluated

    at 25 C and 1.01 bar

    Eq. (10)   S S IDR   ¼ lnð Z   bÞ lnðP =P 

    Þ   A21:5bRT 

    T a

    dadT 

    ln

      V þð20:5þ1Þb

    V þð20:51Þb

      Entropy equation   S  = predicted entropy

    S ID = reference entropy evaluated at

    25 C and 1.01 bar

    P   pressure in the reference state

    (1.01 bar)

    Eq. (11) ln/i  ¼ ln   Z   PbRT 

    þ ð Z   1Þ bib  

      a21:5bRT 

    1a   2a

    0:5i

    PN  j¼1 x ja

    0:5 j   ð1  kijÞ

     bib

    ln  V þð20:5 þ1Þb

    V þð20:5 1Þb

    Evaluation of fugacity coefficient   / = mixture fugacity coefficient of 

    for the ith component

    848   G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851

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    4. Conclusions

    In the present work a quantitative methodology was developed

    for the performance analysis of the vegetable oil refining process.

    An advanced thermodynamic model was implemented in order

    to reproduce the vapor/liquid equilibrium of crude vegetable oil –

    residual solvent system. The model was validated against available

    experimental data and was implemented in the refining processsimulator, developed on the Honeywell UniSim Design software.

    The simulator allowed for a detailed performance analysis of 

    the process. The results were compared with field data obtained

    from an actual vegetable oil refinery showing good agreement in

    reproducing the refining process in the reference conditions.

    The effect of the residual solvent content increase on the pro-

    cess efficiency was investigated, determining the most significant

    nodes of solvent accumulation among the plant process operations

    and evaluating its influence on the global energy requirements. In

    particular, the ejector systems, aimed at keeping vacuum operating

    conditions, were deeply investigated, evaluating the utility con-

    sumption increment. Both motive steam and cooling water for con-

    densers were analyzed by varying the residual hexane content in

    the input crude oil and determining the modification in the opera-

    tive conditions for minimizing the energy costs. The study evi-

    denced the criticalities related to the management of inlet crude

    oil quality, in terms of residual solvent content control, for the

    enhancement of the global process efficiency.

    Finally, the simulator also allowed investigating the potential

    hazards due to formation of flammable mixtures inside the process

    vent lines, in presence of purged hexane vapors and air entrained

    by gaskets and/or seals of vacuum operating pipelines. The results

    evidenced the conditions in which flammable mixtures might

    potentially be formed inside the process vents, with fire and explo-

    sion hazards in presence of accidental ignition.

     Acknowledgement

    The authors gratefully acknowledge financial support received

    from Regione Toscana (Bando Unico R&S n.2009DUA/526090469/

    1).

     Appendix A

    The present section provides details on the thermodynamic

    model implemented in Unisim Design (Honeywell, 2010a,b).

    The selected model is based on the Peng–Robinsonequations (Peng

    and Robinson, 1976) corrected with the Twu Alpha function (Twu

    et al., 1995; Honeywell, 2010b), which takes into account the ex-

    cess free energy in order to have more accurate prediction of vapor

    pressure. Table A1 summarizes the key parameters and equations

    used to predict enthalpy, entropy, the fugacity coefficients for each

    component of the mixture and thus the vapor/liquid equilibrium.

    Tables A2 and A3 report the specific parameters selected for each

    substance considered in the present study.

     Appendix B

    Table B1  reports the results of the process optimization and

    sensitivity analysis, comparing the baseline case results (BC) and

    the optimized cases (OCs) by varying the residual hexane content

    (HEX in the following, expressed in % by weight basis) up to one

    order of magnitude respect to the BC, which features HEX = 0.1%.

    The first column of the table reports the process variable of 

    interest (EJ: ejector, MS: motive steam, CW: cooling water, see

    Figs. 4 and 5). The second column report the results obtained for

    the baseline case with HEX = 0.1%, while the third column shows

    the correspondent optimization of process variables aimed at

     Table A3

    Determination of system specific binary interaction factor  ki, j (i: columns;  j: rows) (see Eq. (11) in Table A1).

    ki, j  i  ? j;   Triolein Oleic acid n-Hexane n-C29H60 Sterols Tocopherols Water

    Triolein – 0   0.095 0 0 0 0

    Oleic acid 0 – 0 0 0 0 0

    n-Hexane   0.095 0 – 0.031 0 0 0.48

    n-C29H60 0 0 0.031 – 0 0 0.48

    Sterols 0 0 0 0 – 0 0

    Tocopherols 0 0 0 0 0 – 0

    Water 0 0 0.48 0.48 0 0 –

     Table A2

    Main parameters selected for the present analysis (Honeywell, 2010b). For parameters definition see  Table A1.

    Parameter (see Table A1) Equation (see Table A1) Units (SI) Assigned parameter for each component – Unisim Design library

    Triolein Oleic acid n-Hexane n-C29H60   Sterols Tocopherols Water

    T c ,i   5   C 680.9 496.9 234.7 564.9 668.1 646.7 374.1

    P c ,i   5 kPa 360.2 1390 3032 826 999.7 945.9 22,120

    Li   8 – –a 0.7760 0.1363 0.3688 –a –a 0.3831

    M i   8 – –a 0.8235 0.8620 0.8247 –a –a 0.8701

    N i   8 – –a 0.8235 0.8620 0.8247 –a –a 0.8701

    L0 see note (a) – 0.1253 – – – 0.1253 0.1253 –

    M0 see note (a) – 0.9118 – – – 0.9118 0.9118 –

    N0 see note (a) – 1.9482 – – – 1.9482 1.9482 –

    L1 see note (a) – 0.5116 – – – 0.5116 0.5116 –

    M1 see note (a) – 0.7841 – – – 0.7841 0.7841 –

    N1 see note (a) – 2.8125 – – – 2.8125 2.8125 –

    xi   see note (a) – 1.6862 – – – 0.9863 0.9624 –

    a

    The parameters Li, M i and N i depend on individual compounds and were retrieved from UniSim

    Design library for the application of Eq. (8) of  Table A1. Nevertheless, fornon-library compounds, the Twu alpha function can be estimated by the following expressions:   ai  ¼  a

    ð0Þi   ðT Þ þ xiða

    ð1Þi   ðT Þ a

    ð0Þi   ðT ÞÞ  where a

    ð0Þi   ¼T 

    N 0=ðM 01Þr ;i

    expðL0ð1  T N 0M 0r ;i   ÞÞ;   að1Þi   ¼ T 

    N 1=ðM 11Þr ;i   expðL1ð1  T 

    N 1M 1r ;i   ÞÞ; T r ;i  ¼  T =T c ;i .

    In this case, Table A2 reports the relevant parameters for the estimation of the Twu alpha function (L0, M0, N0, L1, M1, N1 and  xi).

    G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851   849

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    keeping the same operative condition in process equipment. The

    other column of the table shows the results in case of higher

    HEX values. In particular, the third column shows the variationof the process variables able to restore the normal operative condi-

    tions in presence of HEX = 0.5%, while the fourth column reports

    the correspondent optimized process variables and operative con-

    ditions. The same type of results are shown in the fifth and sixth

    column for HEX = 1.0%.

     Appendix C. Supplementary material

    Supplementary data associated with this article can be found, in

    the online version, at   http://dx.doi.org/10.1016/j.jfoodeng.2013.

    01.034.

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     Table B1

    Results of the sensitivity analysis. BC = base case; OC: optimized case; RHC: residual hexane content.

    Process variable HEX = 0.1% HEX = 0.5% HEX = 1.0%

    BC OC BC OC  a BC OC  a

    EJ1a/b operative pressure (kPa) 16.5 14.0 16.5 25.5 16.5 26.0

    EJ2a/b operative pressure (kPa) 16.5 20.0 16.5 22.5 16.5 24.0

    EJ3a/b operative pressure (kPa) 2.8 2.9 2.8 3.0 2.8 3.0

    EJ3c operative pressure (kPa) 20.0 11.0 20.0 12.0 20.0 12.0

    MSA for EJ1a/b flowrate (kg/h) 70.1 55.2 90.4 165.7 115.2 223.1

    MSB for EJ1a/b flowrate (kg/h) 53.4 64.1 177.1 66.0 342.3 63.0

    MSA for EJ2a/b flowrate (kg/h) 15.6 20.7 18.8 28.6 22.2 38.4

    MSB for EJ2a/b flowrate (kg/h) 27.6 21.7 47.5 32.7 68.7 42.5

    MSA for EJ3a/b flowrate (kg/h) 1100.1 1138.3 1113.9 1171.7 1127.3 1205.3

    MSB for EJ3a/b flowrate (kg/h) 157.2 55.0 216.6 78.7 275.4 95.7

    MSA for EJ3c flowrate (kg/h) 26.0 50.3 42.0 69.0 61.3 94.5

    CW1&CW2 flowrate (kg/h) 9282.2 9061.0 10,330.0 12,026.2 11,604.5 14,534.7

    CW3&CW4 flowrate (kg/h) 1180.8 1316.0 1375.0 1664.2 1637.4 2099.6

    CW5&CW6 flowrate (kg/h) 240,000.0 240,000.0 240,000.0 240,000.0 240,000.0 240,000.0

    a Respect to the base case.

    850   G. Landucci et al. / Journal of Food Engineering 116 (2013) 840–851

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